Abstract
A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with fundamental group 2, lead to low energy theories with standard model gauge group (SU(3)C × SU(2)L × U(1)Y)/6 and three families of quarks and leptons. A methodology for determining the sheaf cohomology of these bundles and the representation of 2 on each cohomology group is given. Combining these results with the action of a 2 Wilson line, we compute, tabulate and discuss the massless spectrum.
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